Question 1001454
Let x be the miles traveled in city

<pre>
               Fuel Efficiency     Fuel Volume    Distance

City              22.5             x/22.5          x

Highway           30              (465-x)/30       465-x

Total                             18.4              465
</pre>

{{{x/22.5+(465-x)/30=18.4}}}

-

Multiply left and right sides by {{{(22.5)(30)}};

{{{30x+10462.5-22.5x=12420}}}
{{{7.5x=12420-10462.5}}}
.
{{{x=261}}}


City:   261 miles
Highway:  204 miles